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1. ### Solve for v...?

p = 1 / [ √(1 - (v^2/c^2)) ] p [ √(1 - (v^2/c^2)) ] = 1 squaring on both sides to get rid of the sq.root p^2 (1- (v^2/c^2)) = 1 1 - (v^2/c^2) = 1 / p^2 v^2/c^2 = 1 - (1/p^2) v^2 = c^2...

3 Answers · Science & Mathematics · 15/05/2008

2. ### Find the magnitude and direction angle of the vector v.?

||v|| = 3 θ = 100° No calculation is needed. To understand this you have to understand components. A vector v with magnitude ||v|| and direction θ has: x component = ||v||cos(θ) y component...

2 Answers · Science & Mathematics · 14/07/2015

3. ### How do I prove: ∇ x (∇ x v) = ∇(∇ • v) - ∇²v?

Let v = (f, g, h). Computing determinants repeatedly yields ∇ x v = (h_y - g_z, f_z - h_x, g_x - f_y) ==> ∇ x (∇ x v) = ((g_xy - f_yy) - (f_zz - h_xz), -[(g_xx - f_xy) - (h_yz - g_zz)], (f_xz - h_xx...

1 Answers · Science & Mathematics · 08/07/2010

4. ### Solve for v in this equation?

50/v = (1/5)^(1/5) v = ((1/5)^(1/5)) × 50 Find 50 divided by the fifth... it's a quintic, so there's four other (complex) roots v = 50 5^(1/5) This is 50 5^(1/5) 1^(1/5) which is...

8 Answers · Science & Mathematics · 08/08/2012

5. ### find the component of v, where u = 2i -j and w = i + 2j?

v= u + 2w v= 2i - j + 2(i + 2j) v = 2i -j + 2i + 4j v = 4i + 3j

2 Answers · Science & Mathematics · 25/06/2011

6. ### sec(arctan u + arccos v)?

sec [ arctan(u) + arccos(v)] let arctan(u) = A tan A = u ==> opposite side = u and adjacent side...cos B = v -------------(3) ==> sin B = √(1 - cos^2(B)) = √(1 - v^2)---------------------(4) now sec [ arctan(u) + arccos(v)] = sec [ A + ...

1 Answers · Science & Mathematics · 27/07/2010

7. ### Find the volume V of the solid bounded?

V = integral dxdydz V = integral[0 to 1] integral[0 to 1 - x] integral[0 to 1 - y - x] of 1 dzdydx V = integral[x = 0 to 1] integral[y = 0 to 1 - x] [z = 0 to 1 - y - x] zdydx V...

4 Answers · Science & Mathematics · 03/06/2010

8. ### sin v + (cos v) / 4 = 0?

sin v + (cos v) / 4 = 0 => sin v = - (cos v) / 4 => (sin v) / (cos v) = -1 / 4 => tan v = -(1 / 4...by [a^2 + b^2 = c^2], c^2 = 1 + 16 => c = root17 Thus, cos v = adjacent / hypotenuse = 4 / root17. Since either [sin v ] or [cos v...

2 Answers · Science & Mathematics · 21/09/2008

9. ### Find possible formulas for u(x) and v(x)?

One possibility is v(x) = x^2 and u(x) = 1/(x + 1), because with this choice you have u(v(x)) = 1/(v(x...x)) = (u(x))^2 = 1/(x+1)^2. How did I come up with u and v? I just stared at the two formulas and thought, for...

2 Answers · Science & Mathematics · 26/07/2011

10. ### In a triangle, the angles are u°, v° and w°.?

If v is half of w: v = w/2 and u is the mean of v and w: u = (v + w) / 2 And you know it's a triangle...w = 80 Now that we have w we can solve for v and u: v + w = 120 v + 80 = 120 v = 40 u = (v + w...

3 Answers · Science & Mathematics · 25/10/2019